A small-world network derived from the deterministic uniform recursive tree |
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Authors: | Zhe-Ming Lu Shi-Ze Guo |
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Institution: | 1. School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;2. North Electronic Systems Engineering Corporation, Beijing 100083, China |
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Abstract: | As the deterministic version of the uniform recursive tree (URT), the deterministic uniform recursive tree (DURT) has been intensively studied by Zhang et al. (2008) 21]. They gave several important properties of DURT, including its topological characteristics and spectral properties. Although DURT shows a logarithmic scaling with the size of the network, DURT is not a small-world network since its clustering coefficient is zero. In this paper, we propose a new deterministic small-world network by adding some edges with a simple rule in each DURT iteration, and then give the analytic solutions to several topological characteristics of the model proposed. |
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